Build (method = -2) #dp: 2106 Step-3' Graph: 105 vertices and 1063 arcs (0.01s) Step-4' Graph: 103 vertices and 1059 arcs (0.01s) #V4/#V3 = 0.98 #A4/#A3 = 1.00 Ready! (0.01s) Optimize a model with 145 rows, 1060 columns and 2978 nonzeros Presolve removed 27 rows and 27 columns Presolve time: 0.02s Presolved: 118 rows, 1033 columns, 2947 nonzeros Variable types: 0 continuous, 1033 integer (777 binary) Found heuristic solution: objective 30.0000000 Found heuristic solution: objective 25.0000000 Optimize a model with 118 rows, 1033 columns and 2947 nonzeros Presolved: 118 rows, 1033 columns, 2947 nonzeros Root barrier log... Ordering time: 0.00s Barrier statistics: AA' NZ : 2.194e+03 Factor NZ : 4.816e+03 Factor Ops : 2.665e+05 (less than 1 second per iteration) Threads : 1 Objective Residual Iter Primal Dual Primal Dual Compl Time 0 1.55748440e+03 -2.09993854e+03 1.70e+03 1.91e-01 8.60e+00 0s 1 3.91769089e+02 -8.32081919e+02 3.49e+02 4.44e-16 1.89e+00 0s 2 8.68220146e+01 -2.68910546e+02 4.10e+01 3.33e-16 3.11e-01 0s 3 3.41734644e+01 -1.38823201e+01 2.79e+00 3.61e-16 3.07e-02 0s 4 2.50183561e+01 1.12158597e+01 2.66e-01 2.19e-16 7.04e-03 0s 5 2.20412379e+01 1.56928970e+01 8.12e-02 1.64e-16 3.14e-03 0s 6 2.12934751e+01 1.75855340e+01 5.34e-02 2.22e-16 1.82e-03 0s 7 2.13262011e+01 1.79660967e+01 4.27e-02 2.22e-16 1.64e-03 0s 8 2.02326864e+01 1.90931860e+01 9.94e-03 4.44e-16 5.53e-04 0s 9 1.98948377e+01 1.94990534e+01 1.80e-03 2.22e-16 1.91e-04 0s 10 1.97985215e+01 1.96344783e+01 5.48e-04 2.71e-16 7.93e-05 0s 11 1.97608498e+01 1.96636382e+01 2.28e-04 4.44e-16 4.70e-05 0s 12 1.97431273e+01 1.96884800e+01 1.32e-04 2.25e-16 2.64e-05 0s 13 1.97272937e+01 1.97096987e+01 3.52e-05 2.22e-16 8.50e-06 0s 14 1.97256906e+01 1.97156903e+01 2.43e-05 1.11e-16 4.83e-06 0s 15 1.97232950e+01 1.97179948e+01 9.58e-06 2.47e-16 2.56e-06 0s 16 1.97210262e+01 1.97199690e+01 9.13e-07 4.44e-16 5.11e-07 0s 17 1.97206168e+01 1.97205280e+01 4.39e-08 2.22e-16 4.29e-08 0s 18 1.97205883e+01 1.97205882e+01 2.62e-12 6.66e-16 4.66e-11 0s 19 1.97205882e+01 1.97205882e+01 2.38e-12 3.00e-16 4.66e-14 0s Barrier solved model in 19 iterations and 0.02 seconds Optimal objective 1.97205882e+01 Root relaxation: objective 1.972059e+01, 152 iterations, 0.02 seconds Nodes | Current Node | Objective Bounds | Work Expl Unexpl | Obj Depth IntInf | Incumbent BestBd Gap | It/Node Time 0 0 19.72059 0 32 25.00000 19.72059 21.1% - 0s H 0 0 23.0000000 19.72059 14.3% - 0s H 0 0 20.0000000 19.72059 1.40% - 0s Explored 0 nodes (284 simplex iterations) in 0.07 seconds Thread count was 1 (of 8 available processors) Optimal solution found (tolerance 0.00e+00) Best objective 2.000000000000e+01, best bound 2.000000000000e+01, gap 0.0% Preprocessing time: 0.02 seconds Gurobi run time: 0.07 seconds Total run time: 0.08 seconds Objective: 20 Solution: 1 x [16, 42] 1 x [4, 12, 42] 1 x [5, 9, 42] 1 x [6, 7, 42] 1 x [17, 41] 1 x [19, 40] 1 x [20, 39] 1 x [21, 38] 1 x [22, 37] 1 x [23, 36] 1 x [24, 35] 1 x [8, 10, 35] 1 x [3, 18, 34] 1 x [2, 2, 14, 34] 1 x [25, 33] 1 x [27, 32] 1 x [28, 31] 1 x [26, 30] 1 x [1, 6, 13, 29] 1 x [11, 15, 24]